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<div class="title">sphere.cpp</div>  </div>
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<a href="sphere_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;﻿ </div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;</div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="__gbmath_8h.html" title="MAIN INCLUDE HEADER. ">_gbmath.h</a>&quot;</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;</div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160; </div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span>gbmath</div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;{</div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
<div class="line"><a name="l00010"></a><span class="lineno"><a class="code" href="classgbmath_1_1sphere.html#a1029fea7ae1b7b9048286e9aba608014">   10</a></span>&#160;<a class="code" href="classgbmath_1_1aabb.html" title="Axis Aligned Bounding Box by min and max points. ">aabb</a> <a class="code" href="classgbmath_1_1sphere.html#a1029fea7ae1b7b9048286e9aba608014" title="Get a box built inside the sphere. TESTED! ">sphere::toAabbInside</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <a class="code" href="classgbmath_1_1aabb.html" title="Axis Aligned Bounding Box by min and max points. ">aabb</a> res;</div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;   <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">float</span> k =  1.0f / sqrt(1.0f+1.0f+1.0f);</div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  res.<a class="code" href="classgbmath_1_1aabb.html#a8d9ee7f37938613852e9bad91560fadf">min</a>.<a class="code" href="structgbmath_1_1vec3.html#a5fb2cf8734338da1ad7b4251a3bde292">x</a> = <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#a5fb2cf8734338da1ad7b4251a3bde292">x</a> - <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a> * k;</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;  res.<a class="code" href="classgbmath_1_1aabb.html#a8d9ee7f37938613852e9bad91560fadf">min</a>.<a class="code" href="structgbmath_1_1vec3.html#aa096d36a3c46c4224f0195f70eb580ec">y</a> = <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#aa096d36a3c46c4224f0195f70eb580ec">y</a> - <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a> * k;</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;  res.<a class="code" href="classgbmath_1_1aabb.html#a8d9ee7f37938613852e9bad91560fadf">min</a>.<a class="code" href="structgbmath_1_1vec3.html#a546e6c38e7c49102f064d130ed3475ee">z</a> = <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#a546e6c38e7c49102f064d130ed3475ee">z</a> - <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a> * k;</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;  res.<a class="code" href="classgbmath_1_1aabb.html#a739cbaa1eef4c6f6d4018ed566fa9d5c">max</a>.<a class="code" href="structgbmath_1_1vec3.html#a5fb2cf8734338da1ad7b4251a3bde292">x</a> = <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#a5fb2cf8734338da1ad7b4251a3bde292">x</a> + <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a> * k;</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  res.<a class="code" href="classgbmath_1_1aabb.html#a739cbaa1eef4c6f6d4018ed566fa9d5c">max</a>.<a class="code" href="structgbmath_1_1vec3.html#aa096d36a3c46c4224f0195f70eb580ec">y</a> = <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#aa096d36a3c46c4224f0195f70eb580ec">y</a> + <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a> * k;</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  res.<a class="code" href="classgbmath_1_1aabb.html#a739cbaa1eef4c6f6d4018ed566fa9d5c">max</a>.<a class="code" href="structgbmath_1_1vec3.html#a546e6c38e7c49102f064d130ed3475ee">z</a> = <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#a546e6c38e7c49102f064d130ed3475ee">z</a> + <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a> * k;</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;   <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;}</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
<div class="line"><a name="l00030"></a><span class="lineno"><a class="code" href="classgbmath_1_1sphere.html#a6038a87083d39786a793cd81fc000d7e">   30</a></span>&#160;<a class="code" href="classgbmath_1_1aabb.html" title="Axis Aligned Bounding Box by min and max points. ">aabb</a> <a class="code" href="classgbmath_1_1sphere.html#a6038a87083d39786a793cd81fc000d7e" title="Get a box built on the edge of the area. TESTED. ">sphere::toAabbOutside</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;  <a class="code" href="classgbmath_1_1aabb.html" title="Axis Aligned Bounding Box by min and max points. ">aabb</a> res;</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;  res.<a class="code" href="classgbmath_1_1aabb.html#a8d9ee7f37938613852e9bad91560fadf">min</a>.<a class="code" href="structgbmath_1_1vec3.html#a5fb2cf8734338da1ad7b4251a3bde292">x</a> = <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#a5fb2cf8734338da1ad7b4251a3bde292">x</a> - <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a>;</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;  res.<a class="code" href="classgbmath_1_1aabb.html#a8d9ee7f37938613852e9bad91560fadf">min</a>.<a class="code" href="structgbmath_1_1vec3.html#aa096d36a3c46c4224f0195f70eb580ec">y</a> = <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#aa096d36a3c46c4224f0195f70eb580ec">y</a> - <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a>;</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;  res.<a class="code" href="classgbmath_1_1aabb.html#a8d9ee7f37938613852e9bad91560fadf">min</a>.<a class="code" href="structgbmath_1_1vec3.html#a546e6c38e7c49102f064d130ed3475ee">z</a> = <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#a546e6c38e7c49102f064d130ed3475ee">z</a> - <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a>;</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;  res.<a class="code" href="classgbmath_1_1aabb.html#a739cbaa1eef4c6f6d4018ed566fa9d5c">max</a>.<a class="code" href="structgbmath_1_1vec3.html#a5fb2cf8734338da1ad7b4251a3bde292">x</a> = <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#a5fb2cf8734338da1ad7b4251a3bde292">x</a> + <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a>;</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;  res.<a class="code" href="classgbmath_1_1aabb.html#a739cbaa1eef4c6f6d4018ed566fa9d5c">max</a>.<a class="code" href="structgbmath_1_1vec3.html#aa096d36a3c46c4224f0195f70eb580ec">y</a> = <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#aa096d36a3c46c4224f0195f70eb580ec">y</a> + <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a>;</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;  res.<a class="code" href="classgbmath_1_1aabb.html#a739cbaa1eef4c6f6d4018ed566fa9d5c">max</a>.<a class="code" href="structgbmath_1_1vec3.html#a546e6c38e7c49102f064d130ed3475ee">z</a> = <a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>.<a class="code" href="structgbmath_1_1vec3.html#a546e6c38e7c49102f064d130ed3475ee">z</a> + <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a>;</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;}</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
<div class="line"><a name="l00047"></a><span class="lineno"><a class="code" href="classgbmath_1_1sphere.html#aeebc5c779e647e019c887b8993561758">   47</a></span>&#160;<a class="code" href="namespacegbmath.html#a52378c6698d1142d3539c0424773a59e" title="description of spatial objects crossing ">obj_contains_e</a> <a class="code" href="classgbmath_1_1sphere.html#aeebc5c779e647e019c887b8993561758">sphere::BSphereContainsBSphere</a>(<span class="keyword">const</span> <a class="code" href="classgbmath_1_1sphere.html" title="The scope of the center point and radius. She Bounding sphere. ">sphere</a>&amp; s)<span class="keyword"> const</span></div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;       <span class="keyword">const</span> <span class="keywordtype">float</span> d2 = (<a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a> - s.<a class="code" href="classgbmath_1_1sphere.html#a77fc8034e9af445efa9b69843d671595" title="center of sphere. ">center</a>).length_sq();</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keywordflow">if</span>(  d2 &lt;  <a class="code" href="namespacegbmath.html#af7ceb382df8a74edbe983b1745229cce" title="x*x ">sqr</a>( <a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a> + s.<a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a>)  )</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      {</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;            <span class="keywordflow">if</span> ( d2 &lt;  <a class="code" href="namespacegbmath.html#af7ceb382df8a74edbe983b1745229cce" title="x*x ">sqr</a>(<a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a>-s.<a class="code" href="classgbmath_1_1sphere.html#abcbf635769e57912ba6473161b0a13b5" title="radius of sphere. ">radius</a>) )</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                <span class="keywordflow">return</span> <a class="code" href="namespacegbmath.html#a52378c6698d1142d3539c0424773a59ea5aa9a335d04365a4e90473e64c7a632f" title="the object is fully located in another ">SC_CONTAINSFULLY</a>;</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                <span class="keywordflow">return</span> <a class="code" href="namespacegbmath.html#a52378c6698d1142d3539c0424773a59ea2e40db5041883c0d1eb081c798f462d9" title="object is partially contained in the other ">SC_CONTAINSPARTIALLY</a>;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      }</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// else</span></div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="comment">//  return SC_NOOVERLAP;</span></div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordflow">return</span>   <a class="code" href="namespacegbmath.html#a52378c6698d1142d3539c0424773a59eab2bc72120069d6a31f80a16a621e4e39" title="object does not apply to another object ">SC_NOOVERLAP</a>;</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;}</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;}</div>
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